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11 November, 07:51

17. Only tenth-, eleventh-, and twelfth-grade students

attend Washington High School. The ratio of tenth

graders to the school's total student population is

86:255, and the ratio of eleventh graders to the

school's total student population is 18:51. If 1 student

is chosen at random from the entire school, which

grade is that student most likely to be in?

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Answers (1)
  1. 11 November, 08:03
    0
    Answer: Eleventh Grade

    Step-by-step

    The ratio of tenth graders to the school's total population is 86:255 = 33.7%.

    The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.

    Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3) % = 31.0%.

    When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
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